4233520823040 has 864 divisors, whose sum is σ = 15907102142400. Its totient is φ = 1065531801600.

The previous prime is 4233520823029. The next prime is 4233520823057. The reversal of 4233520823040 is 403280253324.

4233520823040 is a `hidden beast` number, since 4 + 23 + 3 + 520 + 82 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×4233520823040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4233520822986 and 4233520823004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1361697006 + ... + 1361700114.

It is an arithmetic number, because the mean of its divisors is an integer number (18410997850).

Almost surely, 2^{4233520823040} is an apocalyptic number.

4233520823040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4233520823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953551071200).

4233520823040 is an abundant number, since it is smaller than the sum of its proper divisors (11673581319360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4233520823040 is a wasteful number, since it uses less digits than its factorization.

4233520823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 4233520823040 in words is "four trillion, two hundred thirty-three billion, five hundred twenty million, eight hundred twenty-three thousand, forty".